Analytical Analysis of Magnetic Levitation Systems with Harmonic Voltage Input

In this paper, a new analytical method using Lagrange equations for the analysis of magnetic levitation (MagLev) systems is proposed, using Thomson’s jumping ring experiment. The method establishes the dependence of the primary and induced currents, and also the equilibrium height of the levitating...

Full description

Saved in:
Bibliographic Details
Published inActuators Vol. 9; no. 3; p. 82
Main Authors Maximov, Serguei, Gonzalez-Montañez, Felipe, Escarela-Perez, Rafael, Olivares-Galvan, Juan Carlos, Ascencion-Mestiza, Hector
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2020
Subjects
Aluminum
aluminum ring
copper coil
Dynamic models
Electric potential
Empirical analysis
Euler-Lagrange equation
Exact solutions
ferromagnetic material
Formulas (mathematics)
Inductance
Magnetic levitation
Magnetic levitation systems
mutual inductance
Permeability
Shock absorbers
Thomson’s jumping ring
Transient operation
Voltage
Online AccessGet full text

Cover

Abstract In this paper, a new analytical method using Lagrange equations for the analysis of magnetic levitation (MagLev) systems is proposed, using Thomson’s jumping ring experiment. The method establishes the dependence of the primary and induced currents, and also the equilibrium height of the levitating object on the input voltage through the mutual inductance of the system. The mutual inductance is calculated in two ways: (i) by employing analytical formula; (ii) through an improved semi-empirical formula based on both measurements and analytical results. The obtained MagLev model was analyzed both analytically and numerically. Analytical solutions to the resulting equations were found for the case of a dynamic equilibrium. The numerical results obtained for the dynamical model under transient operation show a close correspondence with the experimental results. The good precision of the analytical and numerical results demonstrates that the developed method can be effectively implemented.
AbstractList In this paper, a new analytical method using Lagrange equations for the analysis of magnetic levitation (MagLev) systems is proposed, using Thomson’s jumping ring experiment. The method establishes the dependence of the primary and induced currents, and also the equilibrium height of the levitating object on the input voltage through the mutual inductance of the system. The mutual inductance is calculated in two ways: (i) by employing analytical formula; (ii) through an improved semi-empirical formula based on both measurements and analytical results. The obtained MagLev model was analyzed both analytically and numerically. Analytical solutions to the resulting equations were found for the case of a dynamic equilibrium. The numerical results obtained for the dynamical model under transient operation show a close correspondence with the experimental results. The good precision of the analytical and numerical results demonstrates that the developed method can be effectively implemented.
Author Ascencion-Mestiza, Hector
Maximov, Serguei
Olivares-Galvan, Juan Carlos
Escarela-Perez, Rafael
Gonzalez-Montañez, Felipe
Author_xml – sequence: 1
  givenname: Serguei
  orcidid: 0000-0002-2144-9208
  surname: Maximov
  fullname: Maximov, Serguei
– sequence: 2
  givenname: Felipe
  orcidid: 0000-0002-7113-1708
  surname: Gonzalez-Montañez
  fullname: Gonzalez-Montañez, Felipe
– sequence: 3
  givenname: Rafael
  orcidid: 0000-0001-7415-3059
  surname: Escarela-Perez
  fullname: Escarela-Perez, Rafael
– sequence: 4
  givenname: Juan Carlos
  orcidid: 0000-0002-1935-2669
  surname: Olivares-Galvan
  fullname: Olivares-Galvan, Juan Carlos
– sequence: 5
  givenname: Hector
  orcidid: 0000-0002-6324-8711
  surname: Ascencion-Mestiza
  fullname: Ascencion-Mestiza, Hector
BookMark eNpNUE1LAzEUDFLBWnvxFyx4E1aTze4mOZaitlD14Mc1vM2-rVu2m5qkSv-9sRV1Lm8YhnnDnJJBb3sk5JzRK84VvQYTFOWUyuyIDDMqyjTSYvCPn5Cx9ysaoRiXlA_Jw6SHbhdaA12yp771iW2Se1j2GOVkgR9tgNDaPnna-YBrn3y24S2ZgVvbPhpebRdgicm832zDGTluoPM4_rkj8nJ78zydpYvHu_l0skgNL1lIkVZ1zbiqBJZICyq4UBKgMAUyVAYLXkdeVoIyWcnYtuGMSQ4mZybjjeQjMj_k1hZWeuPaNbidttDqvWDdUoOL9TvUiikKRaaUEiKXoKpS5NjER6aQiFDHrItD1sbZ9y36oFd26-IWXmd5zhmPyKPr8uAyznrvsPn9yqj-nl__zc-_AAPIeCg
CitedBy_id crossref_primary_10_3390_en13246595
crossref_primary_10_3390_act11120361
crossref_primary_10_1155_2022_2014376
crossref_primary_10_3390_s23020979
Cites_doi 10.1109/13.746338
10.1109/20.996245
10.1002/0470866993
10.1109/TMAG.2013.2242452
10.1504/IJVD.2000.005181
10.1021/acs.analchem.9b05606
10.1021/acs.analchem.8b03493
10.1109/TIE.2016.2585540
10.1109/TEC.2017.2651979
10.1021/acs.analchem.8b01724
10.1016/j.jmmm.2018.07.082
10.1080/00423119308969018
10.1080/00423119608969226
ContentType Journal Article
Copyright 2020. This work is licensed under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: 2020. This work is licensed under http://creativecommons.org/licenses/by/3.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID AAYXX
CITATION
3V.
7SP
7TB
7XB
8AL
8FD
8FE
8FG
8FK
ABJCF
ABUWG
AFKRA
ARAPS
AZQEC
BENPR
BGLVJ
CCPQU
DWQXO
FR3
GNUQQ
HCIFZ
JQ2
K7-
L6V
L7M
M0N
M7S
P5Z
P62
PIMPY
PQEST
PQQKQ
PQUKI
PRINS
PTHSS
Q9U
DOA
DOI 10.3390/act9030082
DatabaseName CrossRef
ProQuest Central (Corporate)
Electronics & Communications Abstracts
Mechanical & Transportation Engineering Abstracts
ProQuest Central (purchase pre-March 2016)
Computing Database (Alumni Edition)
Technology Research Database
ProQuest SciTech Collection
ProQuest Technology Collection
ProQuest Central (Alumni) (purchase pre-March 2016)
Materials Science & Engineering Collection
ProQuest Central (Alumni)
ProQuest Central UK/Ireland
Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Central
Technology Collection
ProQuest One Community College
ProQuest Central
Engineering Research Database
ProQuest Central Student
SciTech Premium Collection (Proquest) (PQ_SDU_P3)
ProQuest Computer Science Collection
Computer Science Database
ProQuest Engineering Collection
Advanced Technologies Database with Aerospace
Computing Database
Engineering Database
Advanced Technologies & Aerospace Database
ProQuest Advanced Technologies & Aerospace Collection
Publicly Available Content Database
ProQuest One Academic Eastern Edition (DO NOT USE)
ProQuest One Academic
ProQuest One Academic UKI Edition
ProQuest Central China
Engineering Collection
ProQuest Central Basic
DOAJ Directory of Open Access Journals
DatabaseTitle CrossRef
Publicly Available Content Database
Computer Science Database
ProQuest Central Student
Technology Collection
Technology Research Database
Mechanical & Transportation Engineering Abstracts
ProQuest Advanced Technologies & Aerospace Collection
ProQuest Central Essentials
ProQuest Computer Science Collection
ProQuest Central (Alumni Edition)
SciTech Premium Collection
ProQuest One Community College
ProQuest Central China
ProQuest Central
ProQuest Engineering Collection
ProQuest Central Korea
Advanced Technologies Database with Aerospace
Engineering Collection
Advanced Technologies & Aerospace Collection
ProQuest Computing
Engineering Database
ProQuest Central Basic
ProQuest Computing (Alumni Edition)
ProQuest One Academic Eastern Edition
Electronics & Communications Abstracts
ProQuest Technology Collection
ProQuest SciTech Collection
Advanced Technologies & Aerospace Database
ProQuest One Academic UKI Edition
Materials Science & Engineering Collection
Engineering Research Database
ProQuest One Academic
ProQuest Central (Alumni)
DatabaseTitleList
CrossRef
Publicly Available Content Database
Database_xml – sequence: 1
  dbid: DOA
  name: DOAJ Directory of Open Access Journals
  url: https://www.doaj.org/
  sourceTypes: Open Website
– sequence: 2
  dbid: 8FG
  name: ProQuest Technology Collection
  url: https://search.proquest.com/technologycollection1
  sourceTypes: Aggregation Database
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 2076-0825
ExternalDocumentID oai_doaj_org_article_9190a529997748a9b674ef5e1c58eead
10_3390_act9030082
GroupedDBID 3V.
5VS
8FE
8FG
AADQD
AAFWJ
AAYXX
ABJCF
ABUWG
ACIWK
ADBBV
AFKRA
AFPKN
AFZYC
ALMA_UNASSIGNED_HOLDINGS
ARAPS
AZQEC
BCNDV
BENPR
BGLVJ
BPHCQ
CCPQU
CITATION
DWQXO
GNUQQ
GROUPED_DOAJ
HCIFZ
IAO
K6V
K7-
KQ8
L6V
M0N
M7S
MODMG
M~E
OK1
P62
PIMPY
PQQKQ
PROAC
PTHSS
7SP
7TB
7XB
8AL
8FD
8FK
FR3
JQ2
L7M
PQEST
PQUKI
PRINS
Q9U
ID FETCH-LOGICAL-c361t-e0bdd139b7e6e05073798aa5c5e1e9ce53d5c56b7018b8009f31183ac41c23f83
IEDL.DBID 8FG
ISSN 2076-0825
IngestDate Tue Oct 22 15:13:55 EDT 2024
Thu Oct 10 20:30:16 EDT 2024
Fri Aug 23 04:46:18 EDT 2024
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 3
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c361t-e0bdd139b7e6e05073798aa5c5e1e9ce53d5c56b7018b8009f31183ac41c23f83
ORCID 0000-0002-2144-9208
0000-0002-7113-1708
0000-0001-7415-3059
0000-0002-1935-2669
0000-0002-6324-8711
OpenAccessLink https://www.proquest.com/docview/2443133334?pq-origsite=%requestingapplication%
PQID 2443133334
PQPubID 2032444
ParticipantIDs doaj_primary_oai_doaj_org_article_9190a529997748a9b674ef5e1c58eead
proquest_journals_2443133334
crossref_primary_10_3390_act9030082
PublicationCentury 2000
PublicationDate 2020-09-01
PublicationDateYYYYMMDD 2020-09-01
PublicationDate_xml – month: 09
  year: 2020
  text: 2020-09-01
  day: 01
PublicationDecade 2020
PublicationPlace Basel
PublicationPlace_xml – name: Basel
PublicationTitle Actuators
PublicationYear 2020
Publisher MDPI AG
Publisher_xml – name: MDPI AG
References Melgoza (ref_14) 2002; 38
Xie (ref_1) 2018; 468
Nagai (ref_13) 2016; 63
Fodor (ref_5) 1993; 22
Graces (ref_3) 2000; 24
Teo (ref_12) 2016; 63
Zhang (ref_8) 2020; 92
Wilcox (ref_17) 1988; 135
Tezuka (ref_11) 2013; 49
Ge (ref_7) 2018; 90
Zhang (ref_6) 2018; 90
ref_19
Barry (ref_15) 1999; 42
(ref_16) 2015; 51
ref_18
Goldner (ref_2) 2001; 110
Shuttleworth (ref_9) 2017; 32
Suda (ref_4) 1996; 25
Zhou (ref_10) 2018; 2019
References_xml – volume: 42
  start-page: 72
  year: 1999
  ident: ref_15
  article-title: Elihu Thomson’s jumping ring in a levitated closed-loop control experiment
  publication-title: IEEE Trans. Educ.
  doi: 10.1109/13.746338
  contributor:
    fullname: Barry
– volume: 38
  start-page: 953
  year: 2002
  ident: ref_14
  article-title: Comparison of table models of electromagnetic actuators
  publication-title: IEEE Trans. Magn.
  doi: 10.1109/20.996245
  contributor:
    fullname: Melgoza
– volume: 51
  start-page: 1
  year: 2015
  ident: ref_16
  article-title: Fully Coupled Dynamic Model of Thomson’s Levitating Ring
  publication-title: IEEE Trans. Magn.
– ident: ref_19
  doi: 10.1002/0470866993
– volume: 49
  start-page: 2257
  year: 2013
  ident: ref_11
  article-title: Design and Simulation of a Five Degrees of Freedom Active Control Magnetic Levitated Motor
  publication-title: IEEE Trans. Magn.
  doi: 10.1109/TMAG.2013.2242452
  contributor:
    fullname: Tezuka
– volume: 24
  start-page: 182
  year: 2000
  ident: ref_3
  article-title: Electronic Regenerative Damping in Vehicle Suspension Systems
  publication-title: Int. J. Veh. Des.
  doi: 10.1504/IJVD.2000.005181
  contributor:
    fullname: Graces
– volume: 92
  start-page: 6925
  year: 2020
  ident: ref_8
  article-title: Axial-Circular Magnetic Levitation: A Three-Dimensional Density Measurement and Manipulation Approach
  publication-title: Anal. Chem.
  doi: 10.1021/acs.analchem.9b05606
  contributor:
    fullname: Zhang
– volume: 90
  start-page: 12239
  year: 2018
  ident: ref_7
  article-title: “Axial” magnetic levitation using ring magnets enables simple density-based analysis, separation, and manipulation
  publication-title: Anal. Chem.
  doi: 10.1021/acs.analchem.8b03493
  contributor:
    fullname: Ge
– volume: 63
  start-page: 6930
  year: 2016
  ident: ref_12
  article-title: Principle and modeling of a novel moving coil linear-rotary electromagnetic actuator
  publication-title: IEEE Trans. Ind. Electron.
  doi: 10.1109/TIE.2016.2585540
  contributor:
    fullname: Teo
– volume: 32
  start-page: 629
  year: 2017
  ident: ref_9
  article-title: Modelling Thomson coils with axis-symmetric problems: Practical accuracy considerations
  publication-title: IEEE Trans. Energy Convers.
  doi: 10.1109/TEC.2017.2651979
  contributor:
    fullname: Shuttleworth
– volume: 90
  start-page: 9226
  year: 2018
  ident: ref_6
  article-title: Single-ring magnetic levitation configuration for object manipulation and density-based measurement
  publication-title: Anal. Chem.
  doi: 10.1021/acs.analchem.8b01724
  contributor:
    fullname: Zhang
– volume: 2019
  start-page: 2846
  year: 2018
  ident: ref_10
  article-title: Closing performance of the Thomson-coil actuator for a 110 kV FMS
  publication-title: J. Eng.
  contributor:
    fullname: Zhou
– volume: 63
  start-page: 5078
  year: 2016
  ident: ref_13
  article-title: Environmental Robust Position Control for Compact Solenoid Actuators by Sensorless Simultaneous Estimation of Position and Force
  publication-title: IEEE Trans. Ind. Electron.
  contributor:
    fullname: Nagai
– ident: ref_18
– volume: 468
  start-page: 100
  year: 2018
  ident: ref_1
  article-title: Research on the sensitivity of magnetic levitation (MagLev) devices
  publication-title: J. Magn. Magn. Mater.
  doi: 10.1016/j.jmmm.2018.07.082
  contributor:
    fullname: Xie
– volume: 22
  start-page: 1
  year: 1993
  ident: ref_5
  article-title: The Variable Linear Transmissions for Regenerative Damping in Vehicle Suspension Control
  publication-title: Veh. Syst. Dyn.
  doi: 10.1080/00423119308969018
  contributor:
    fullname: Fodor
– volume: 110
  start-page: 53
  year: 2001
  ident: ref_2
  article-title: A Preliminary Study of Energy Recovery in Vehicles by Using Regenerative Magnetic Shock Absorbers
  publication-title: SAE Trans. J. Commer. Veh.
  contributor:
    fullname: Goldner
– volume: 25
  start-page: 641
  year: 1996
  ident: ref_4
  article-title: A New Hybrid Suspension System with Active Control and Energy Regeneration
  publication-title: Veh. Syst. Dyn. Suppl.
  doi: 10.1080/00423119608969226
  contributor:
    fullname: Suda
– volume: 135
  start-page: 470
  year: 1988
  ident: ref_17
  article-title: Calculation of self and mutual impedances for coils on ferromagnetic cores
  publication-title: IEE Proc.
  contributor:
    fullname: Wilcox
SSID ssj0000913803
Score 2.2136009
Snippet In this paper, a new analytical method using Lagrange equations for the analysis of magnetic levitation (MagLev) systems is proposed, using Thomson’s jumping...
SourceID doaj
proquest
crossref
SourceType Open Website
Aggregation Database
StartPage 82
SubjectTerms Aluminum
aluminum ring
copper coil
Dynamic models
Electric potential
Empirical analysis
Euler-Lagrange equation
Exact solutions
ferromagnetic material
Formulas (mathematics)
Inductance
Magnetic levitation
Magnetic levitation systems
mutual inductance
Permeability
Shock absorbers
Thomson’s jumping ring
Transient operation
Voltage
SummonAdditionalLinks – databaseName: DOAJ Directory of Open Access Journals
  dbid: DOA
  link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV09T8MwELVQJxgQn6JQkCVYrcbxR-wREFVB0ImibpHt2CyQViX9_5ydFIoYWNiiKFKid-e79xz7GaGrIJyRuc1IkJ4TXllLrMk1yX2gFeSILaq0QHYix1P-MBOzjaO-4pqw1h64BW6ooWMZAUUzEhVltJUF90F46oTyAEOqvpneEFOpBmvKVMZaP1IGun5oXKMhoTOV_-hAyaj_Vx1OzWW0h3Y7Voiv26_ZR1u-PkA7G16Bh2iS7EPSzDNeO4ngecBP5rWOGxHxI7S49r867mzIcZxkxWOzfI_-t_hl_tZA9cD39WLVHKHp6O75dky6wxCIY5I2xGe2qoCu2cJLnwGLY4VWxggHUHjtvGAVXEtbZFRZYIE6MNAOzDhOXc6CYseoV89rf4KwgkHtJAhDoaOa8rag1EBwFDfATpjso8s1QOWi9bwoQStEGMtvGPvoJmL39UT0qU43IHplF73yr-j10WCNfNkNno8SGAcD6cwYP_2Pd5yh7TyK5LQwbIB6zXLlz4FJNPYiJc0neLLGNA
  priority: 102
  providerName: Directory of Open Access Journals
Title Analytical Analysis of Magnetic Levitation Systems with Harmonic Voltage Input
URI https://www.proquest.com/docview/2443133334
https://doaj.org/article/9190a529997748a9b674ef5e1c58eead
Volume 9
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV09T8MwELWgXWBAfIpCqSzBajWJE8eeEEUtBUGFEEXdIttxWCApbfr_OTtJC0Jii5IM0fl899758g6hqyzSkgXKIxkzIQlTpYiSgSCByfwUfETFqWuQnbDxNHyYRbO64Las2yqbmOgCdVpoWyPvQxqiwKcoDa_nX8ROjbKnq_UIjW3U9oM4tuSLj-7WNRarecndcOQA6DqxbKhSKKXA9PtSlwJc3OPBr5zkpPv_RGaXbkb7aK_GifimWtgDtGXyQ7T7Qz3wCE2coIirReNGWwQXGX6S77n9NRE_QtKrTtpxLUyObdkVj-Xi0yri4rfio4R4gu_z-ao8RtPR8PV2TOrxCERT5pfEeCpNAcCp2DDjAa6jseBSRjoyvhHaRDSFa6Ziz-cKcKHIKLAJKnXo64BmnJ6gVl7k5hRhDttcM6CKkbD8yqjY9yUsFw8l4BXKOuiyMVAyr1QwEmAP1ozJxowdNLC2W79hlavdjWLxntQbIRGAQGQESdACTy6FYnFoMvhkHXEDbt1B3cbySb2dlslm8c_-f3yOdgJLiF0TWBe1ysXKXABqKFXPuUYPtQfDyfNLz3Hvb-qvwg4
link.rule.ids 315,783,787,867,2109,12777,21400,27936,27937,33385,33756,43612,43817,74363,74630
linkProvider ProQuest
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV09T8MwELWgDMCA-BSFApZgtZrE-bAnBIiSQtupRd0i23G6QFLa9P9zdpIWhMQWJRmS8_nuvbP9DqG7LFAi9KRDslD7xE-lJFJ4nHg6c1PwERmldoPsKIwn_us0mNYFt2W9rbKJiTZQp4UyNfIupCEKfIpS_37-RUzXKLO6WrfQ2EY7PoVcbU6K917WNRajeclsc2QP6DoxbKhSKKXA9LtClRxc3GHer5xkpfv_RGabbnqH6KDGifihGtgjtKXzY7T_Qz3wBI2soIitReNGWwQXGR6KWW6OJuIBJL1qpR3XwuTYlF1xLBafRhEXvxcfJcQT3M_nq_IUTXrP46eY1O0RiIJ_LYl2ZJoCgJORDrUDuI5GnAkRqEC7misd0BSuQxk5LpOAC3lGgU1QoXxXeTRj9Ay18iLX5wgzmOYqBKoYcMOvtIxcV8BwMV8AXqFhG902BkrmlQpGAuzBmDHZmLGNHo3t1m8Y5Wp7o1jMknoiJBwQiAggCRrgyQSXYeTrDD5ZBUyDW7dRp7F8Uk-nZbIZ_Iv_H9-g3Xg8HCSD_ujtEu15hhzbDWEd1CoXK30FCKKU19ZNvgFq6MJh
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV09T8MwELWgSAgGxKcoFLAEq9UkThxnQnyFFkrFQFG3yHacLpCUNv3_nF23BSGxRUmG6Hy-e-98eYfQVREpwQLpkYLpkIS5lESKICGBLvwcfETGuW2Q7bPOIHwaRkPX_zR1bZWLmGgDdV4pUyNvQxqiwKcoDduFa4t4vU-vx1_ETJAyJ61unMY62oCsyIzP8_RxWW8x-pfcDkoOgLoTw4zmaqUUWH9bqDoBd_d48Cs_WRn_P1Happ50F-04zIhv5ou8h9Z0uY-2fygJHqC-FRexdWm80BnBVYFfxKg0vyniHiTA-ak7diLl2JRgcUdMPo06Ln6vPmqILbhbjmf1IRqkD293HeJGJRBFmV8T7ck8BzAnY820BxiPxgkXIlKR9nWidERzuGYy9nwuASMmBQVmQYUKfRXQgtMj1CirUh8jzGHLKwa0MUoM19Iy9n0BS8dDAdiFsia6XBgoG88VMTJgEsaM2cqMTXRrbLd8w6hY2xvVZJS5TZElgEZEBAnRgFAuEsniUBfwySriGly8iVoLy2dua02zlSOc_P_4Am2Ch2S9bv_5FG0Fhifb3rAWatSTmT4DMFHLc-sl34Dkxpk
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Analytical+Analysis+of+Magnetic+Levitation+Systems+with+Harmonic+Voltage+Input&rft.jtitle=Actuators&rft.au=Maximov%2C+Serguei&rft.au=Gonzalez-Monta%C3%B1ez%2C+Felipe&rft.au=Escarela-Perez%2C+Rafael&rft.au=Olivares-Galvan%2C+Juan+Carlos&rft.date=2020-09-01&rft.pub=MDPI+AG&rft.issn=2076-0825&rft.eissn=2076-0825&rft.volume=9&rft.issue=3&rft.spage=82&rft_id=info:doi/10.3390%2Fact9030082&rft.externalDBID=HAS_PDF_LINK
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2076-0825&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2076-0825&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2076-0825&client=summon